Least Common Multiple of 4175 and 4179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4175 and 4179 the smallest integer that is 17447325 that is divisible by both numbers.

Least Common Multiple (LCM) of 4175 and 4179 is 17447325.

LCM(4175,4179) = 17447325

LCM of 4175 and 4179

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4175 and 4179

LCM of 4175 and 4179 is 17447325

Least common multiple can be found by multiplying the highest exponent prime factors of 4175 and 4179. First we will calculate the prime factors of 4175 and 4179.

Prime Factorization of 4175


5 4175
5 835
167 167
1

Prime factors of 4175 are 5,167. Prime factorization of 4175 in exponential form is:

4175 = 52×1671

Prime Factorization of 4179


3 4179
7 1393
199 199
1

Prime factors of 4179 are 3, 7,199. Prime factorization of 4179 in exponential form is:

4179 = 31×71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4175 and 4179.

LCM(4175,4179) = 31×52×71×1671×1991
LCM(4175,4179) = 17447325

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1, 5, 25, 167, 835, 4175

Factors of 4179

List of positive integer factors of 4179 that divides 4179 without a remainder.

1, 3, 7, 21, 199, 597, 1393, 4179

Least Common Multiple of 4175 and 4179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4175 and 4179, than apply into the LCM equation.

GCF(4175,4179) = 1
LCM(4175,4179) = ( 4175 × 4179) / 1
LCM(4175,4179) = 17447325 / 1
LCM(4175,4179) = 17447325

Properties of LCM 4175 and 4179

(i) The LCM of 4179 and 4175 is associative

LCM of 4175 and 4179 = LCM of 4179 and 4175

Related Least Common Multiples of 4175

Related Least Common Multiples of 4179

Frequently Asked Questions on LCM of 4175 and 4179

1. What is the LCM of 4175 and 4179?

Answer: LCM of 4175 and 4179 is 17447325.

2. What are the Factors of 4175?

Answer: Factors of 4175 are 1, 5, 25, 167, 835, 4175. There are 6 integers that are factors of 4175. The greatest factor of 4175 is 4175.

3. What are the Factors of 4179?

Answer: Factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179. There are 8 integers that are factors of 4179. The greatest factor of 4179 is 4179.

4. How to Find the LCM of 4175 and 4179?

Answer:

Least Common Multiple of 4175 and 4179 = 17447325

Step 1: Find the prime factorization of 4175

4175 = 5 x 5 x 167

Step 2: Find the prime factorization of 4179

4179 = 3 x 7 x 199

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 17447325 = 3 x 5 x 5 x 7 x 167 x 199

Step 4: Therefore, the least common multiple of 4175 and 4179 is 17447325.